Final answer:
The energy of a photon emitted from a sodium vapor lamp with a wavelength of 589 nm is 3.368 × 10⁻¹⁹ joules.
Step-by-step explanation:
To find the energy of a photon with a given wavelength, we use the formula E = hc/\(λ\), where E represents the energy of the photon, h is Planck's constant (6.626 × 10-34 joule·seconds), c is the speed of light (approximately 3.00 × 108 meters per second), and \(λ\) is the wavelength of the photon. A sodium vapor lamp emits photons with a wavelength of 5.89 x 10-7 meters (589 nm). To calculate the energy of one of these photons, we use the values of Planck's constant and the speed of light in the formula above.
Energy calculation:
E = 6.626 x 10-34 J·s * 3.00 x 108 m/s / 5.89 x 10-7 m
= 3.368 x 10-19 J (per photon)